Dynamical Gibbs–non-Gibbs Transitions in the Curie–Weiss Potts Model in the Regimeβ<3

We consider the Curie–Weiss Potts model in zero external field under independent symmetric spin-flip dynamics. We investigate dynamical Gibbs–non-Gibbs transitions for a range of initial inverse temperatures β < 3 , which covers the phase transition point β = 4 log 2 (Ellis and Wang in Stoch Proc...

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Bibliographic Details
Published in:Journal of statistical physics 2021-08, Vol.184 (2), Article 15
Main Authors: Külske, Christof, Meißner, Daniel
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Phase transitions
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Spin dynamics
Statistical Physics and Dynamical Systems
Theoretical
Trajectory measurement
Transition points
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Summary:We consider the Curie–Weiss Potts model in zero external field under independent symmetric spin-flip dynamics. We investigate dynamical Gibbs–non-Gibbs transitions for a range of initial inverse temperatures β < 3 , which covers the phase transition point β = 4 log 2 (Ellis and Wang in Stoch Process Appl 35(1):59–79, 1990). We show that finitely many types of trajectories of bad empirical measures appear, depending on the parameter β , with a possibility of re-entrance into the Gibbsian regime, of which we provide a full description.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-021-02793-3